Quadratic diophantine equations [electronic resource] / Titu Andreescu and Andrica Dorin ; foreword by Preda Mihăilescu.
Andreescu, Titu, 1956- author.; Andrica, D. (Dorin), author.
2015
QA215
Available Online

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Title Quadratic diophantine equations [electronic resource] / Titu Andreescu and Andrica Dorin ; foreword by Preda Mihăilescu.
Author Andreescu, Titu, 1956- author.
ISBN 9780387541099 electronic book
0387541098 electronic book
9780387351568
DOI https://doi.org/10.1007/978-0-387-54109-9
Published New York : Springer, 2015.
Language English
Description 1 online resource.
Other Standard Identifiers 10.1007/978-0-387-54109-9 doi
Call Number QA215
Dewey Decimal Classification 512.9/4222
Summary This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 6, 2015).
Added Author Andrica, D. (Dorin), author.
Series Developments in mathematics ; volume 40.
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Why Quadratic Diophantine Equations?
Continued Fractions, Diophantine Approximation and Quadratic Rings
Pell's Equation
General Pell's Equation
Equations Reducible to Pell's Type Equations
Diophantine Representations of Some Sequences
Other Applications.

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